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Finding the Fourth Proportional to 2,566.60, 3,850.06 and 877.28

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Solution

The fourth proportional to 2,566.60, 3,850.06 and 877.28 is: 1,315.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.60 : 3,850.06 = 877.28 : x
  2. Step 2: Convert to fraction form
    2,566.60/3,850.06 = 877.28/x
  3. Step 3: Cross multiply
    2,566.60x = 3,850.06 × 877.28
  4. Step 4: Simplify right side
    2,566.60x = 3,377,580.64
  5. Step 5: Solve for x
    x = 3,377,580.64/2,566.60
  6. Step 6: Final answer
    x = 1,315.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.